Finding the Third Proportional to 16,274 and 33,824

Step by Step Solution

1. Step 1: Write the proportion equation
   16,274 : 33,824 = 33,824 : x
2. Step 2: Convert to fraction form
   16,274/33,824 = 33,824/x
3. Step 3: Cross multiply
   16,274x = 33,824 × 33,824
4. Step 4: Simplify right side
   16,274x = 1,144,062,976
5. Step 5: Solve for x
   x = 1,144,062,976/16,274
6. Step 6: Final answer
   x = 70,300.05